Consistency levels of small EDTs: Difference between revisions
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Revision as of 08:52, 9 February 2019
An EDT N is consistent with respect to a set of rational numbers s if the patent val mapping of every element of s is the nearest N-edt approximation. It is uniquely consistent if every element of s is mapped to a unique value. If the set s is the q limit (no-twos limit or integer limit), we say N is q-limit consistent and q-limit uniquely consistent, respectively. Below is a table of every EDT up to 99. "Consistent" gives the consistency level, and "Distinct" the distinct consistency level.
| EDT | No-twos limit | Integer limit | ||
|---|---|---|---|---|
| Consistent | Distinct | Consistent | Distinct | |
| 1 | 5 | 1 | 3 | 1 |
| 2 | 7 | 5 | 3 | 1 |
| 3 | 7 | 5 | 4 | 3 |
| 4 | 11 | 5 | 3 | 3 |
| 5 | 11 | 5 | 7 | 4 |
| 6 | 13 | 7 | 7 | 3 |
| 7 | 17 | 5 | 3 | 3 |
| 8 | 7 | 5 | 10 | 4 |
| 9 | 7 | 7 | 3 | 3 |
| 10 | 11 | 7 | 3 | 3 |
| 11 | 11 | 5 | 6 | 4 |
| 12 | 5 | 5 | 3 | 3 |
| 13 | 13 | 11 | 7 | 4 |
| 14 | 13 | 7 | 7 | 6 |
| 15 | 17 | 7 | 3 | 3 |
| 16 | 7 | 7 | 9 | 4 |
| 17 | 17 | 11 | 3 | 3 |
| 18 | 13 | 11 | 3 | 3 |
| 19 | 7 | 7 | 10 | 6 |
| 20 | 7 | 7 | 3 | 3 |
| 21 | 17 | 11 | 4 | 4 |
| 22 | 13 | 11 | 7 | 4 |
| 23 | 7 | 7 | 3 | 3 |
| 24 | 5 | 5 | 6 | 6 |
| 25 | 5 | 5 | 6 | 6 |
| 26 | 19 | 13 | 3 | 3 |
| 27 | 17 | 11 | 4 | 4 |
| 28 | 7 | 7 | 3 | 3 |
| 29 | 11 | 11 | 3 | 3 |
| 30 | 7 | 7 | 10 | 7 |
| 31 | 5 | 5 | 3 | 3 |
| 32 | 19 | 13 | 4 | 4 |
| 33 | 23 | 13 | 4 | 4 |
| 34 | 11 | 11 | 3 | 3 |
| 35 | 11 | 11 | 12 | 7 |
| 36 | 17 | 11 | 3 | 3 |
| 37 | 5 | 5 | 3 | 3 |
| 38 | 5 | 5 | 6 | 6 |
| 39 | 13 | 13 | 3 | 3 |
| 40 | 7 | 7 | 4 | 4 |
| 41 | 7 | 7 | 10 | 9 |
| 42 | 5 | 5 | 3 | 3 |
| 43 | 11 | 11 | 10 | 7 |
| 44 | 5 | 5 | 4 | 4 |
| 45 | 7 | 7 | 3 | 3 |
| 46 | 13 | 13 | 16 | 7 |
| 47 | 7 | 7 | 3 | 3 |
| 48 | 7 | 7 | 3 | 3 |
| 49 | 11 | 11 | 12 | 9 |
| 50 | 5 | 5 | 3 | 3 |
| 51 | 5 | 5 | 4 | 4 |
| 52 | 29 | 17 | 4 | 4 |
| 53 | 19 | 17 | 3 | 3 |
| 54 | 13 | 13 | 7 | 7 |
| 55 | 5 | 5 | 3 | 3 |
| 56 | 13 | 13 | 3 | 3 |
| 57 | 7 | 7 | 9 | 9 |
| 58 | 11 | 11 | 3 | 3 |
| 59 | 5 | 5 | 6 | 6 |
| 60 | 13 | 13 | 6 | 6 |
| 61 | 23 | 17 | 3 | 3 |
| 62 | 7 | 7 | 7 | 7 |
| 63 | 5 | 5 | 3 | 3 |
| 64 | 5 | 5 | 3 | 3 |
| 65 | 13 | 13 | 16 | 10 |
| 66 | 13 | 13 | 3 | 3 |
| 67 | 7 | 7 | 3 | 3 |
| 68 | 5 | 5 | 6 | 6 |
| 69 | 7 | 7 | 3 | 3 |
| 70 | 11 | 11 | 4 | 4 |
| 71 | 17 | 17 | 7 | 7 |
| 72 | 5 | 5 | 3 | 3 |
| 73 | 17 | 17 | 18 | 10 |
| 74 | 7 | 7 | 3 | 3 |
| 75 | 13 | 13 | 3 | 3 |
| 76 | 5 | 5 | 6 | 6 |
| 77 | 5 | 5 | 3 | 3 |
| 78 | 19 | 19 | 7 | 7 |
| 79 | 7 | 7 | 10 | 9 |
| 80 | 7 | 7 | 3 | 3 |
| 81 | 5 | 5 | 4 | 4 |
| 82 | 17 | 17 | 3 | 3 |
| 83 | 7 | 7 | 3 | 3 |
| 84 | 7 | 7 | 10 | 10 |
| 85 | 11 | 11 | 3 | 3 |
| 86 | 7 | 7 | 3 | 3 |
| 87 | 7 | 7 | 4 | 4 |
| 88 | 11 | 11 | 3 | 3 |
| 89 | 5 | 5 | 6 | 6 |
| 90 | 5 | 5 | 6 | 6 |
| 91 | 7 | 7 | 3 | 3 |
| 92 | 17 | 17 | 18 | 12 |
| 93 | 5 | 5 | 3 | 3 |
| 94 | 5 | 5 | 3 | 3 |
| 95 | 11 | 11 | 10 | 10 |
| 96 | 7 | 7 | 3 | 3 |
| 97 | 11 | 11 | 6 | 6 |
| 98 | 23 | 23 | 7 | 7 |
| 99 | 19 | 19 | 3 | 3 |